Amachine fills cans of soda which are labeled 12 ounces, according to a normal distribution with mean 12.1 ounces and standard deviation 0.1 ounces. if you buy a 12-pack of the soda, what is the chance the average contents of the cans will be less than advertised?

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The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?